Preprint Article Version 1 This version is not peer-reviewed

Field Equations in C4 Space-Time

Version 1 : Received: 17 September 2018 / Approved: 19 September 2018 / Online: 19 September 2018 (08:21:48 CEST)

How to cite: Mastoridis, D.; Kalogirou, K. Field Equations in C4 Space-Time. Preprints 2018, 2018090369 (doi: 10.20944/preprints201809.0369.v1). Mastoridis, D.; Kalogirou, K. Field Equations in C4 Space-Time. Preprints 2018, 2018090369 (doi: 10.20944/preprints201809.0369.v1).

Abstract

We explore the field equations in a 4-d complex space-time, in the same way, that general relativity does for our usual 4-d real space-time, forming this way, a new "general  relativity" in C4 space-time, free of sources. Afterwards, by embedding our usual 4-d real space-time in C4 space-time, we describe  geometrically the energy-momentum tensor Tμν as the lost geometric information of this embedding. We further give possible explanation of dark eld and dark energy.

Subject Areas

general relativity; geometric uni cation; dark matter-energy; mass geometrisation; complex space-time; symplectic space-time; extended space-time

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